Yes. There are two main types: open angle and closed angle. The angle refers to the width of the opening to the drainage system of the eye.
Open angle is the most common form in the United States. It is slowly progressive and silent with regard to symptoms.
Closed angle typically presents more dramatically with a sudden and severe increase in eye pressure accompanied by redness, pain, seeing halos, and blurred vision. Closed angle is an eye emergency and requires immediate treatment.